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200434624 = 26131737383
BaseRepresentation
bin10111111001001…
…10001111000000
3111222011010121121
423330212033000
5402302401444
631520002024
74652444335
oct1374461700
9458133547
10200434624
11a315a555
1257160314
13326aa090
141c89698c
15128e3084
hexbf263c0

200434624 has 112 divisors (see below), whose sum is σ = 467002368. Its totient is φ = 84492288.

The previous prime is 200434603. The next prime is 200434643. The reversal of 200434624 is 426434002.

200434624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523137 + ... + 523519.

It is an arithmetic number, because the mean of its divisors is an integer number (4169664).

Almost surely, 2200434624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233501184).

200434624 is an abundant number, since it is smaller than the sum of its proper divisors (266567744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200434624 is a wasteful number, since it uses less digits than its factorization.

200434624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 200434624 is about 14157.4935634808. The cubic root of 200434624 is about 585.2268572514.

Adding to 200434624 its reverse (426434002), we get a palindrome (626868626).

The spelling of 200434624 in words is "two hundred million, four hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 37 52 64 68 74 104 136 148 208 221 272 296 383 416 442 481 544 592 629 766 832 884 962 1088 1184 1258 1532 1768 1924 2368 2516 3064 3536 3848 4979 5032 6128 6511 7072 7696 8177 9958 10064 12256 13022 14144 14171 15392 16354 19916 20128 24512 26044 28342 30784 32708 39832 40256 52088 56684 65416 79664 84643 104176 113368 130832 159328 169286 184223 208352 226736 240907 261664 318656 338572 368446 416704 453472 481814 523328 677144 736892 906944 963628 1354288 1473784 1927256 2708576 2947568 3131791 3854512 5417152 5895136 6263582 7709024 11790272 12527164 15418048 25054328 50108656 100217312 200434624